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Two perpendicular sides of a triangle are 2.8 m and 5.8 m long respectively. What is the length of the third side of the triangle? You can answer this in terms of m's, cm's, km's, in's, ft, etc. but you must enter the units. If you don't remember the Pythagorean theorem.
Suppose that f_n(0) converges to some number, denoted f(0), and also suppose that the sequence (f'_n) converges uniformly on (0,1) to some function g: (0,1) -> R. Prove that the sequence (f_n) converges uniformly. What is its limit?
In recession, congress decided to stimulate the economy by providing funds to hire unemployed workers for gov. projects. Suppose the t months after the stimulus programs have begun, there are N(t) thousand people unemployed, where:
The temperature u in a star of conductivity 2 is inversely proportional to the distance from the center: u=(2/sqrt(x^2+y^2+z^2)). If the star is a sphere of radius 1, find the rate of heat flow outward across the surface of the star.
A beacon on a lighthouse 2000m away from the nearest point P on a straight shoreline revolves at the rate of 10 pi radians per minute. How fast is the beam of the light moving along the shoreline when it is 500m from P?
Creating matlab code using these linear algebra concepts. 1500 points for help with any of these! Preferably all but I've posted this multiple times and it seems no one can help
To purchase additional park sites, the Anderson County treasurer invested $30,000 in an account that pays 8% annual interest, compounded quarterly. What is the value of the investment after 5 years? Use the Compound Interest Table. Round to the ne..
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
Use the definition finition of the derivative to find f'(x) given f(x) = sqrt(x). What is the maximum height attained by the ball?
Find the equation of parabola describe. Find 2 points of latus rectum.Graph. Find all the complex root. Leave your answer in polar form with the argument in degrees.
Assume that a watermelon dropped from a tall building falls y=16t^2 in t sec. Find the watermelon's average speed during the first 3 sec of fall and the speed at the instant t=3sec.
Real Life Application of Linear Eqations : A mathematician has developed a model indicating a woman with x years of education can expect to earn y = 1200x + 6300 dollars a year.
A regression analysis
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